Least Common Multiple of 7989/186, 5653/7353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7989/186, 5653/7353 quickly i.e. 15053939 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7989/186, 5653/7353 is 15053939.

LCM(7989/186, 5653/7353) = 15053939

LCM of 7989/186, 5653/7353

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7989/186,5653/7353

Given numbers are 7989/186,5653/7353

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7989,5653

Least Common Multiple of Numerators i.e. LCM of 7989,5653 is 45161817.

GCF of Denominators means GCF of 186,7353 as per the given fractions.

GCF of 186,7353 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7989,5653

LCM of Fractions 7989/186,5653/7353 is 15053939

Given numbers has no common factors except 1. So, there LCM is their product i.e 45161817

Least Common Multiple of 7989,5653 with GCF Formula

Least Common Multiple of 7989,5653 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7989,5653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7989,5653) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7989,5653) x common factors =1 x 1 = 1

LCM(7989,5653) = ( 7989 × 5653 ) / 1

LCM(7989,5653) = 45161817 / 1

LCM(7989,5653) = 45161817


Lets's calculate GCF of 186,7353

3 186, 7353
62, 2451

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45161817/3

Therefore the LCM of Fractions 7989/186,5653/7353 is 15053939

Greatest Common Factor of 186,7353 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,7353 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 7353

List of positive integer factors of 7353 that divides 7353 without a remainder.

1,3,9,19,43,57,129,171,387,817,2451,7353

Greatest Common Factor

We found the factors 186,7353 . The biggest common factor number is the GCF number.
So the greatest common factor 186,7353 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7989/186, 5653/7353

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7989/186, 5653/7353?

Answer: LCM of Numerators as per given numbers 7989/186, 5653/7353 is

LCM of Numerators i.e. for 7989,5653 is 45161817

GCF of denominators i.e. for 186,7353 is 3.

Thus, LCM of Fractions is 15053939.Finally, LCM of Fractions for 7989/186, 5653/7353 is 15053939.